Three main operators drive our evolution now:
1. selection
2. mutation
3. crossover (breeding)
The selection operator is the first hurdle to overcome, and self replication does it. Initially there is zero competition so selection is zero, any self replicating molecule makes the grade, it's bloom of growth goes unhindered.
When self replicating molecules occur, then the mutation operator is the first to happen, simple replicating systems are very noisy, many dice throws end up close to self replication but just miss the ability. Once a fairly stable self replicating system is established (with small mutation level) then a sea of fairly bland chemistry happens, in that sea it is possible, given time, that some crossover mechanism will arise as a mutation, and then boom it's lit. From there the genetic code lenghtens and gains complexity through mutation, crossover and selection.
Without mutation there is no evolution, a large radiation shower of the earth, although unpleasant for the inhabitants in the short term would be like hitting the nitro button for evolution. But it's not sustainable and the button must be released fairly quickly or everything dies. Optimal mutation rate overall is that which occurs naturally through selection.
All mutations are "tried" those that don't live long enough to breed, their mutation is lost forever.
Genetic algorithms are
scientific proof of evolution, you can witness emergent complexity beyond which was programmed in to the original overall system, in fact the seed genome can be junk provided a replicating gene system with crossover and mutation is established. In a simple experiment like this you select the best solutions for breeding and cull the rest, after a modest number of generations excellent solutions can be achieved. I have used this method to tweak parameters of complex systems that would be impossible to do using a brute force try all combos approach.
In real life the selection is imposed by competition and environment.
We are physical manifestations of a trinary code that has been mutated and crossed over for a long long long time.
And that's all there is to it, a "creator" is not needed. If you crave a "god" then Sol is the closest thing we got. The suns energy drives all life chemistry, directly or indirectly.
EDIT: people don't realise how large the chemistry set (observable universe) is, this snapshot covers a tiny area of sky, no bigger than a tiny dot drawn on the thumbnail of an outstretched arm. They're not stars they're galaxies! At any one moment there are countless organic chemistry reactions happening under countless conditions and there are many many moments!
If anyone finds more awe in an old story book than this image then they need to seriously expand their mind.